diff --git a/.gitignore b/.gitignore
index 4516389..5830290 100644
--- a/.gitignore
+++ b/.gitignore
@@ -116,3 +116,6 @@ tmp.ptau
 
 # is this still a thing lol
 .DS_Store
+
+# ignore auto generated test circuits
+circuits/test
diff --git a/README.md b/README.md
index a40b6b3..135d056 100644
--- a/README.md
+++ b/README.md
@@ -81,24 +81,27 @@ To run Mocha tests do the following:
 
 ```bash
 # run all tests
-yarn test
+yarn test:all
 # run a specific test
-yarn --grep "circuit name"
+yarn test "circuit name"
 ```
 
-Within each test, there are two sub-tests:
+### Witness Computation
 
-- **Witness Computation** will test whether witness computations are matching the expectations & the constraints hold.
-- **Proof Validation** will test whether proof generation & verification works correctly. This requires the **WASM file**, **prover key**, and **verification key** to be calculated beforehand.
+TODO
+
+### Proof Verification
+
+TODO
 
 ## Examples
 
 We have several example circuits to help guide you:
 
-- **Multiplier**: Prove that you know the factors of a number.
-- **Floating Point Addition**: A floating-point addition circuit, as written in [Berkeley ZKP MOOC 2023 - Lab 1](https://github.com/rdi-berkeley/zkp-mooc-lab).
-- **Fibonacci**: Calculate N'th Fibonacci number, has both recursive & iterative implementations.
-- **Sudoku**: Prove that you know the solution to a sudoku puzzle where the board size is a perfect square.
+- **Multiplier**: A circuit to prove that you know the factors of a number.
+- **Floating Point Addition**: A circuit to compute the sum of two floating-point numbers, as written in [Berkeley ZKP MOOC 2023 - Lab 1](https://github.com/rdi-berkeley/zkp-mooc-lab).
+- **Fibonacci**: A circuit to compute Fibonacci numbers.
+- **Sudoku**: A circuit to prove that you know the solution to a Sudoku puzzle.
 
 ## Styling
 
diff --git a/circuits/float_add.circom b/circuits/float_add.circom
index 87fcf52..4b63a1f 100644
--- a/circuits/float_add.circom
+++ b/circuits/float_add.circom
@@ -7,7 +7,17 @@ include "circomlib/circuits/switcher.circom";
 include "circomlib/circuits/gates.circom";
 include "circomlib/circuits/bitify.circom";
 
-include "functions/bits.circom";
+/*
+ * Finds Math.floor(log2(n))
+ */
+function log2(n) {
+  var tmp = 1, ans = 1;
+  while (tmp < n) {
+    ans++;
+    tmp *= 2;
+  }
+  return ans;
+}
 
 /*
  * Basically `out = cond ? ifTrue : ifFalse`
@@ -199,7 +209,7 @@ template LeftShift(shift_bound) {
   signal output y;
 
   // find number of bits in shift_bound
-  var n = numOfBits(shift_bound);
+  var n = log2(shift_bound) + 1;
 
   // convert "shift" to bits
   component shift_bits = Num2BitsWithSkipChecks(n);
diff --git a/circuits/functions/bits.circom b/circuits/functions/bits.circom
deleted file mode 100644
index 2ea28e6..0000000
--- a/circuits/functions/bits.circom
+++ /dev/null
@@ -1,10 +0,0 @@
-pragma circom 2.0.0;
-
-include "./math.circom";
-
-/*
- * Get number of bits
- */
-function numOfBits(n) {
-  return log2(n) + 1;
-}
diff --git a/circuits/functions/math.circom b/circuits/functions/math.circom
deleted file mode 100644
index d62a071..0000000
--- a/circuits/functions/math.circom
+++ /dev/null
@@ -1,13 +0,0 @@
-pragma circom 2.0.0;
-
-/*
- * Computes Math.floor(log2(n))
- */
-function log2(n) {
-  var tmp = 1, ans = 1;
-  while (tmp < n) {
-    ans++;
-    tmp *= 2;
-  }
-  return ans;
-}
diff --git a/circuits/sudoku.circom b/circuits/sudoku.circom
index 1039cdc..c30ff67 100644
--- a/circuits/sudoku.circom
+++ b/circuits/sudoku.circom
@@ -1,7 +1,6 @@
 pragma circom 2.0.0;
 
 include "circomlib/circuits/bitify.circom";
-include "functions/bits.circom";
 
 // Assert that two elements are not equal
 template NonEqual() {
diff --git a/tests/float_add.test.ts b/tests/float_add.test.ts
index 26f3108..714b2d2 100644
--- a/tests/float_add.test.ts
+++ b/tests/float_add.test.ts
@@ -2,7 +2,7 @@ import {instantiate} from '../utils/instantiate';
 import {createWasmTester} from '../utils/wasmTester';
 
 // tests adapted from https://github.com/rdi-berkeley/zkp-mooc-lab
-describe('fp32', () => {
+describe('float_add 32-bit', () => {
   let circuit: Awaited<ReturnType<typeof createWasmTester>>;
 
   before(async () => {
@@ -105,7 +105,7 @@ describe('fp32', () => {
   });
 });
 
-describe('fp64', () => {
+describe('float_add 64-bit', () => {
   let circuit: Awaited<ReturnType<typeof createWasmTester>>;
 
   before(async () => {
@@ -193,3 +193,42 @@ describe('fp64', () => {
     });
   });
 });
+
+describe('float_add utilities', () => {
+  describe('check bit length', () => {
+    const b = 23; // bit count
+    const circuitName = 'cbl_' + b;
+    let circuit: Awaited<ReturnType<typeof createWasmTester>>;
+
+    before(async () => {
+      instantiate(circuitName, 'float_add/test', {
+        file: 'float_add',
+        template: 'CheckBitLength',
+        publicInputs: [],
+        templateParams: [b],
+      });
+      circuit = await createWasmTester(circuitName, 'test/float_add');
+      await circuit.printConstraintCount(b + 2);
+    });
+
+    it('bitlength of `in` <= `b`', async () => {
+      await circuit.expectCorrectAssert(
+        {
+          in: '4903265',
+        },
+        {out: '1'}
+      );
+    });
+
+    it('bitlength of `in` > `b`', async () => {
+      await circuit.expectCorrectAssert(
+        {
+          in: '13291873',
+        },
+        {out: '0'}
+      );
+    });
+  });
+
+  describe('right shift', () => {});
+});
diff --git a/utils/instantiate.ts b/utils/instantiate.ts
index 58fcd79..f41d9a9 100644
--- a/utils/instantiate.ts
+++ b/utils/instantiate.ts
@@ -1,5 +1,5 @@
 import ejs from 'ejs';
-import {writeFileSync, readFileSync} from 'fs';
+import {writeFileSync, readFileSync, existsSync, mkdirSync} from 'fs';
 import config from '../circuit.config';
 import {CircuitConfig} from '../types/circuit';
 
@@ -16,11 +16,19 @@ export function instantiate(name: string, directory: string, circuitConfig?: Cir
 
   // generate the main component code
   const ejsPath = './circuits/ejs/template.circom';
-  let circuit = ejs.render(readFileSync(ejsPath).toString(), circuitConfig);
+  let circuit = ejs.render(readFileSync(ejsPath).toString(), {
+    ...circuitConfig,
+    file: circuitConfig.file, // TODO: add ../'s based on dir
+  });
 
   // output to file
-  const targetDir = directory || 'main';
-  const targetPath = `./circuits/${targetDir}/${name}.circom`;
+  const targetDir = `./circuits/${directory || 'main'}`;
+  if (!existsSync(targetDir)) {
+    mkdirSync(targetDir, {
+      recursive: true,
+    });
+  }
+  const targetPath = `${targetDir}/${name}.circom`;
   writeFileSync(targetPath, circuit);
   console.log(`Main component created at: ${targetPath}\n`);
 }